The following data show the number of laps run by each participant in a marathon. $$\begin{array} { l l l l l l l l l l l l }
46 & 65 & 55 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56
\end{array}$$ Which of these choices display the correct stemplot?

Question

The following data show the number of laps run by each participant in a marathon. $$\begin{array} { l l l l l l l l l l l l } 
46 & 65 & 55 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56
\end{array}$$ Which of these choices display the correct stemplot?

Quizplus · Accepted Answer

A stemplot shows the distribution of a dataset by separating the digits of the data into a stem (all but the rightmost digit) and a leaf (the rightmost digit). The stems are listed in a vertical column and the leaves for each stem are listed to the right.

For the given data set, the stems would be the tens digit and the leaves would be the ones digit.

Using choice A, we get the stemplot shown below:
 
11ecda80_0424_00ba_a7e5_2f31fbd5753f_TB7898_11

This stemplot does not correctly represent the data since there are duplicate stems with similar leaf values.

Using choice B, we get the stemplot shown below:

11ecda80_07da_c72b_a7e5_31ed4a9e270b_TB7898_11

This stemplot correctly represents the data, with no duplicate stems and each leaf accurately represented. Therefore, choice B is the correct answer.

The Following Data Show the Number of Laps Run by Each